Finding the Fourth Proportional to 10,966.74, 15,134.22 and 5,931.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,966.74 : 15,134.22 = 5,931.05 : x
2. Step 2: Convert to fraction form
   10,966.74/15,134.22 = 5,931.05/x
3. Step 3: Cross multiply
   10,966.74x = 15,134.22 × 5,931.05
4. Step 4: Simplify right side
   10,966.74x = 89,761,815.53
5. Step 5: Solve for x
   x = 89,761,815.53/10,966.74
6. Step 6: Final answer
   x = 8,184.91